The given data can be tabulated as:
Number of swimsuits, s (x) Price, p (y)
0 0
2 23
4 46
6 69
8 92
10 115
We can see that by looking alone, the value of price p is
increasing at a constant rate of 23 therefore the equation relating s and p
must be linear in the form of:
y = m x + b
or
p = m s + b
where m is the slope of the line and b is the y intercept
The slope m can be calculated using the formula below and
any two data points:
m = (y2 – y1) / (x2 – x1)
m = (23 – 0) / (2 – 0)
m = 11.5
The value of b (y-intercept) is the value of y when x =
0, therefore b = 0
The whole equation then becomes:
p = 11.5 s
Answer:
AC is about 41. 095 miles long.
Step-by-step explanation:
You can use the Law of Cosines to solve this: c^2 = a^2 + b^2 – 2ab cos(C)
Substitute in your values, and you're good to go!
c^2=16^2+28^2-2(16)(28)(cos(117))
c^2 = 256 + 784 - 896(cos(117))
c = sqrt(1040 - 896(cos(117)))
c is about 41. 095 miles long.
10. Horizontal shift of 50, vertical shift of -20, horizontal shift of -50. Think of it on a plane, with right in the positive x-axis and up in the positive y-axis. The cans go right 50ft, then down 20ft, then left 50ft. In terms of the horizontal and vertical, they go 50ft in the positive horizontal axis, then 20ft in the negative vertical axis, then 50ft in the negative horizontal axis. Therefore, the cans have a horizontal shift of 50, then a vertical shift of -20, then a horizontal shift of -50.
11. Since the partition and the wall are parallel, the triangles are similar. This means that the ratio between the sides are the same for the small triangle and the big triangle. The small triangle (made by the partition) is 3m wide and 2m tall. Since the big triangle (made by the wall) is 4m tall, the sides of the big triangle are twice the size of the small triangle. Therefore, the big triangle is 6m wide. We cannot forget to subtract the 3m from the small triangle, since we only want to know how far the partition is from the wall, not how far the point is from the wall.
The wall is 3m away from the partition.
Answer:
y = 3/4x - 8
Step-by-step explanation:
I believe he should add 2ft to the height of the tree as well
